Posted by **Phil** on Sunday, April 5, 2009 at 2:05pm.

Find the point on the line 2 x + 7 y + 4 =0 which is closest to the point ( 0, 1 )

- Calc -
**Reiny**, Sunday, April 5, 2009 at 2:15pm
let P be that point

slope of given line is -2/7

so slope of line from P to (0,1) is 7/2

and since (0,1) is the y-intercept,

its equation is y = (7,2)x + 1

solve the two equations to find P

use substitution, i.e.,

2x + 7((7/2)x + 1) = -4

etc

- Calc -
**Phil**, Sunday, April 5, 2009 at 2:26pm
i found x value of P how do I find the y value of P?

- Calc -
**Reiny**, Sunday, April 5, 2009 at 4:04pm
sub it back in the original equation.

## Answer This Question

## Related Questions

- Calc - Find the point on the line –2x+2y–3=0 which is closest to the point (–4–4...
- Pre-Calc - I am seeking help with this problem Please...Thank you! Find the ...
- calc - Find the point on the line 2 x + 6 y + 2 = 0 which is closest to the ...
- Math - For the given point and line, find by projection the point on the line ...
- Calc - Find the point on the parabola x+y^2=0 that is closest to the point (0,-3...
- AP Calc - Find the point on the curve y^2=4x closest to the point (8,0). My Work...
- AP Calc - Find the point on the curve y^2=4x closest to the point (8,0). My Work...
- Calculus-Applied Optimization Problem: - Find the point on the line 6x + 3y-3 =...
- Math - Find the point on the line 6x + y = 9 that is closest to the point (-3,1...
- Calculus - Find the point on the line 6x + y = 9 that is closest to the point (-...

More Related Questions